Search a number
-
+
2024341400 = 235210398269
BaseRepresentation
bin111100010101000…
…1111111110011000
312020002011012100102
41320222033332120
513121212411100
6532512354532
7101110421654
oct17052177630
95202135312
102024341400
11949762724
12485b45a48
1326351a863
14152bd3a64
15bcabecd5
hex78a8ff98

2024341400 has 48 divisors (see below), whose sum is σ = 4752337200. Its totient is φ = 801866880.

The previous prime is 2024341399. The next prime is 2024341409. The reversal of 2024341400 is 41434202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024341409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28535 + ... + 69734.

It is an arithmetic number, because the mean of its divisors is an integer number (99007025).

Almost surely, 22024341400 is an apocalyptic number.

2024341400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024341400 is an abundant number, since it is smaller than the sum of its proper divisors (2727995800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2024341400 is a wasteful number, since it uses less digits than its factorization.

2024341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98388 (or 98379 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2024341400 is about 44992.6816271269. The cubic root of 2024341400 is about 1265.0118263513.

Adding to 2024341400 its reverse (41434202), we get a palindrome (2065775602).

The spelling of 2024341400 in words is "two billion, twenty-four million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2060 2575 4120 5150 10300 20600 98269 196538 393076 491345 786152 982690 1965380 2456725 3930760 4913450 9826900 10121707 19653800 20243414 40486828 50608535 80973656 101217070 202434140 253042675 404868280 506085350 1012170700 2024341400